Greatest Common Factor of 98/577, 3210/7649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/577, 3210/7649

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 98/577,3210/7649

Given fractions are 98/577,3210/7649

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 98,3210

Greatest Common Factor of Numerators i.e. GCF of 98,3210 is 2 .

LCM of Denominators means LCM of 577,7649 as per the given fractions.

LCM of 577,7649 is 4413473 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,3210

GCF of Fractions 98/577,3210/7649 is 2/4413473

2 98, 3210
49, 1605

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 98,3210 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,3210 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Greatest Common Factor

We found the factors 98,3210 . The biggest common factor number is the GCF number.
So the greatest common factor 98,3210 is 2.

Lets's calculate LCM of 577,7649

Given numbers has no common factors except 1. So, there LCM is their product i.e 4413473

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4413473

Therefore, the GCF of Fractions 98/577,3210/7649 is 2/4413473

Least Common Multiple of 577,7649 with GCF Formula

Least Common Multiple of 577,7649 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 577,7649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,7649) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(577,7649) x common factors =1 x 1 = 1

LCM(577,7649) = ( 577 × 7649 ) / 1

LCM(577,7649) = 4413473 / 1

LCM(577,7649) = 4413473


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 98/577, 3210/7649

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 98/577, 3210/7649?

Answer: GCF of Numerators as per given numbers 98/577, 3210/7649 is

GCF of Numerators i.e. for 98,3210 is 2

LCM of denominators i.e. for 577,7649 is 4413473.

Thus, GCF of Fractions is 2/4413473.Finally, GCF of Fractions for 98/577, 3210/7649 is 2/4413473.